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Finding the Fourth Proportional to 54,948, 82,414.62 and 15,508.28

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Solution

The fourth proportional to 54,948, 82,414.62 and 15,508.28 is: 23,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948 : 82,414.62 = 15,508.28 : x
  2. Step 2: Convert to fraction form
    54,948/82,414.62 = 15,508.28/x
  3. Step 3: Cross multiply
    54,948x = 82,414.62 × 15,508.28
  4. Step 4: Simplify right side
    54,948x = 1,278,109,003.05
  5. Step 5: Solve for x
    x = 1,278,109,003.05/54,948
  6. Step 6: Final answer
    x = 23,260.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.